What is the Greatest Common Factor of 50825 and 50840?

Greatest common factor (GCF) of 50825 and 50840 is 5.

GCF(50825,50840) = 5

We will now calculate the prime factors of 50825 and 50840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50825 and 50840.

How to find the GCF of 50825 and 50840?

We will first find the prime factorization of 50825 and 50840. After we will calculate the factors of 50825 and 50840 and find the biggest common factor number .

Step-1: Prime Factorization of 50825

Prime factors of 50825 are 5, 19, 107. Prime factorization of 50825 in exponential form is:

50825 = 5² × 19¹ × 107¹

Step-2: Prime Factorization of 50840

Prime factors of 50840 are 2, 5, 31, 41. Prime factorization of 50840 in exponential form is:

50840 = 2³ × 5¹ × 31¹ × 41¹

Step-3: Factors of 50825

List of positive integer factors of 50825 that divides 50825 without a remainder.

1, 5, 19, 25, 95, 107, 475, 535, 2033, 2675, 10165

Step-4: Factors of 50840

List of positive integer factors of 50840 that divides 50825 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 41, 62, 82, 124, 155, 164, 205, 248, 310, 328, 410, 620, 820, 1240, 1271, 1640, 2542, 5084, 6355, 10168, 12710, 25420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50825 and 50840. The biggest common factor number is the GCF number.
So the greatest common factor 50825 and 50840 is 5.

Also check out the Least Common Multiple of 50825 and 50840